Fiebig is a German surname. Notable people with the surname include:

Anett Fiebig (born 1961), German swimmer Frédéric Fiebig (1885–1953), Latvian-born French painter Frederick Fiebig, 19th-century German photographer Heinz Fiebig (1897–1964), German general Kurt Fiebig (1908–1988), German composer Leonie Fiebig (born 1990), German bobsledder Martin Fiebig (1891–1947), German general Taryn Fiebig (1972–2021), Australian opera soprano

See also